Question

The sum of the infinite series (3 + 4 + 5 + 6 + ...)

A) The sum of the series is (0).
B) The sum of the series is (+[infinity]).
C) The sum of the series is (-[infinity]).
D) The series does not converge.

Answer 1

The sum of the infinite series (3 + 4 + 5 + 6 + ...) is (-∞).

Step-by-step explanation:

The sum of the infinite series can be found using the formula for the sum of an arithmetic series:

S = (n/2) * (2a + (n-1)d)

Where S is the sum, n is the number of terms, a is the first term, and d is the common difference.

In this case, a = 3 and d = 1. Since the series goes on indefinitely, the number of terms is also infinity (n = infinity).

Using the formula, we can see that the sum of the series is (-∞). Therefore, the correct answer is C) The sum of the series is (-∞).